Is there a way to re-orient normals?
By definition the face normals are perpendicular to the face and can't be adjusted to a specific rotation.

To alter the way the hair is emitted, you want to use something other than the normals to determine the initial direction, you can adjust this in the particle settings.

Enable the advanced option which makes the velocity panel available for hair particles. Set the normal value to 0.0 and change the emitter object values to the direction you want the hair to go.